Challenges with assessing the impact of NFS advances on the security of pairing-based cryptography
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Publication:2412217
DOI10.1007/978-3-319-61273-7_5zbMath1410.94096OpenAlexW2741945342MaRDI QIDQ2412217
Publication date: 23 October 2017
Full work available at URL: https://doi.org/10.1007/978-3-319-61273-7_5
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16)
Related Items (15)
Efficient hash maps to \(\mathbb{G}_2\) on BLS curves ⋮ Improved threshold signatures, proactive secret sharing, and input certification from LSS isomorphisms ⋮ Fine-grained forward secrecy: allow-list/deny-list encryption and applications ⋮ Cocks-Pinch curves of embedding degrees five to eight and optimal ate pairing computation ⋮ A survey of elliptic curves for proof systems ⋮ CHQS: Publicly Verifiable Homomorphic Signatures Beyond the Linear Case ⋮ Higher-dimensional sieving for the number field sieve algorithms ⋮ Choosing and generating parameters for pairing implementation on BN curves ⋮ Computing discrete logarithms in \(\mathbb F_{p^6}\) ⋮ Updating key size estimations for pairings ⋮ Refined analysis to the extended tower number field sieve ⋮ A short-list of pairing-friendly curves resistant to special TNFS at the 128-bit security level ⋮ Beta Weil pairing revisited ⋮ Improving the computation of the optimal ate pairing for a high security level ⋮ New constructions of hinting PRGs, OWFs with encryption, and more
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